In$-$class assignment $8.(3$pts$)$

Upload your work$/$answers on Brightspace by Sunday, April $14,11$:$59$pm ET$.$

This is graded based on effort: If you did all the work you get the credit.

Only submit PDF$,$ or $.$docx $($WORD$)$ files.

Solutions will be posted the following week.

Problems.

Problem $1.$ Consider the problem faced by a summer camp recreation director who is trying to choose activities for a rainy day. Information about possible choices is given in the table below. Let $=1$ if activity $i$ is selected, $=0$ otherwise. Write down the following constraints:

$\backslash$table$[[$Category$,$Activity $($numbered$)],[$Art$,x1-$ Painting$],[,x2-$ Drawing$],[,x3-$ Nature craft$],[$Music$,x4-$ Rhythm band$],[$Sports$,x5-$ Relay races$],[,x6-$ Basketball$],[$Computer$,x7-$ Internet$],[,x8-$ Creative writing$],[,x9-$ Games$]]$

a$.$ At least one Art activity must be done.

b$.$ If you choose the Painting activity, you cannot also choose the Drawing activity, and vice versa.

c$.$ If Basketball is chosen, then Rhythm band must also be chosen, and vice versa.

d$.$ Games can only be selected if Relay races is selected.